Base field \(\Q(\sqrt{62}) \)
Generator \(w\), with minimal polynomial \(x^{2} - 62\); narrow class number \(2\) and class number \(1\).
Form
| Weight: | $[2, 2]$ |
| Level: | $[16, 4, 4]$ |
| Dimension: | $2$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $43$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q(e)$ where $e$ is a root of the defining polynomial:
| \(x^{2} - 10\) |
Show full eigenvalues Hide large eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| 2 | $[2, 2, w - 8]$ | $\phantom{-}0$ |
| 9 | $[9, 3, 3]$ | $-4$ |
| 13 | $[13, 13, -w + 7]$ | $\phantom{-}e$ |
| 13 | $[13, 13, -w - 7]$ | $-e$ |
| 19 | $[19, 19, w + 9]$ | $-4$ |
| 19 | $[19, 19, -w + 9]$ | $-4$ |
| 23 | $[23, 23, -2w + 15]$ | $\phantom{-}0$ |
| 23 | $[23, 23, 2w + 15]$ | $\phantom{-}0$ |
| 25 | $[25, 5, 5]$ | $-6$ |
| 29 | $[29, 29, 3w - 23]$ | $-3e$ |
| 29 | $[29, 29, -5w + 39]$ | $\phantom{-}3e$ |
| 31 | $[31, 31, 4w - 31]$ | $\phantom{-}0$ |
| 37 | $[37, 37, -w - 5]$ | $\phantom{-}e$ |
| 37 | $[37, 37, w - 5]$ | $-e$ |
| 41 | $[41, 41, -2w + 17]$ | $\phantom{-}8$ |
| 41 | $[41, 41, -10w + 79]$ | $\phantom{-}8$ |
| 49 | $[49, 7, -7]$ | $-10$ |
| 53 | $[53, 53, -w - 3]$ | $\phantom{-}e$ |
| 53 | $[53, 53, w - 3]$ | $-e$ |
| 59 | $[59, 59, -w - 11]$ | $\phantom{-}0$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $2$ | $[2, 2, w - 8]$ | $1$ |